<span>A is the correct answer. In geometry, postulate is something that is assumed to be true without proof being given. In contrast, a theorem is a true statement which can be proven. A definition defines or explains what a term means. Statement one is a definition of perpendicular lines and statement two can be proven. </span>
Answer:
c = 64
Step-by-step explanation:
Given
x² - 16x + c
To complete the square
add ( half the coefficient of the x- term )² to x² - 16x
x² + 2(- 8)x + 64
= (x - 8)²
Thus
x² - 16x + 64 = (x - 8)² ← a perfect square
with c = 64
Answer:
![f^{-1}(x)=\sqrt[3]{x}-6](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D-6)
Step-by-step explanation:
![\sqrt[3]{x}=y+6](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%3Dy%2B6)
![\sqrt[3]{x}-6=y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D-6%3Dy)
Answer:
<h2>a) x = 16 and y = 6</h2><h2>b) P = 864 in</h2>
Step-by-step explanation:
a)
The opposite sides of the rectangle are of equal length.
Therefore we have the system of equations:
Substitute from (*) to (**):
Put the value of y to (*):
b)
Calculate the width and the length:
The perimeter:
<span>A=1/2(a+b)h for h.
First, you need to get rid of 1/2, so divide both sides by 1/2.
A/(1/2) = (a + b)h
You can simplify the </span>A/(1/2) by multiplying by the reciprocal of 1/2, so 2/1.
2A = (a + b)h
Now divide both sides by (a+b).
2A/(a+b) = h
